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Finding the Third Proportional to 419,712 and 899,310

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Solution

The third proportional to 419,712 and 899,310 is: 1,926,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,712 : 899,310 = 899,310 : x
  2. Step 2: Convert to fraction form
    419,712/899,310 = 899,310/x
  3. Step 3: Cross multiply
    419,712x = 899,310 × 899,310
  4. Step 4: Simplify right side
    419,712x = 808,758,476,100
  5. Step 5: Solve for x
    x = 808,758,476,100/419,712
  6. Step 6: Final answer
    x = 1,926,936.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.